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Finding the Fourth Proportional to 290,949.98, 436,207.54 and 200,735.26

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Solution

The fourth proportional to 290,949.98, 436,207.54 and 200,735.26 is: 300,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,949.98 : 436,207.54 = 200,735.26 : x
  2. Step 2: Convert to fraction form
    290,949.98/436,207.54 = 200,735.26/x
  3. Step 3: Cross multiply
    290,949.98x = 436,207.54 × 200,735.26
  4. Step 4: Simplify right side
    290,949.98x = 87,562,233,955.86
  5. Step 5: Solve for x
    x = 87,562,233,955.86/290,949.98
  6. Step 6: Final answer
    x = 300,952.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.